Question

ABCD is a parallelogram. Find the unknown angles marked in the figure.

Answer 1

Answer:

ABCD is a parallelogram, so

AD Parallel BC.

, so angleDAC=angleBAC (alternate interior angle

then, y=angleBAC=45°

angleABC+70°=180°

angleABC=180-70=110°

angleABC=angleADC(opposite angle)

then.,Z=angleADC=110°

In triangleABC

angley+anglex+angleABC =180°

45°+anglex+110°=180°

anglex=25°

so

x=25°,y=45°,z=110°

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